Random population dynamics under catastrophic events

Autoren: Patrick Cattiaux, Jens Fischer, Sylvie Roelly, Samuel Sindayigaya (2020)

In this paper we introduce new Birth-and-Death processes with partial catastrophe and study their properties. In particular we obtain some estimates for the mean catastrophe time, and the first and second moments of the distribution of the process at a fixed time t. This is completed by some asymptotic results.

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